Answer:
7 are boys
Step-by-step explanation:
Make a system of equations where g is for girls and b is for boys.
b+g=26
g=3b-2
Substitute "3b-2" in for "g" in the first equation.
b+(3b-2)=26
Rewrite without the parentheses because it's addition and not multiplication.
b+3b-2=26
Combine like terms.
4b-2=26
Add 2 to both sides.
4b=28
Divide by the coefficient of the variable to get it alone.
b=7
Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property
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Explanations:
Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments
Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD
Explanation for Reason 5: Any segment is congruent to itself; ie, the same length
Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.
Answer:
"a" must be negative
Step-by-step explanation:
The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.
The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.
Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.
Answer:
red,because The probability of choosing red is 5/12 but this probability for purple and blue is 2/12=1/6,and also for green marbles is 3/12=1/4
5/12>3/12>2/12